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Question

If one root of 4x22x+(λ4)=0 is reciprocal of the other, then value of λ is
  1. 8

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Solution

The correct option is A 8
It is given that one root of 4x22x+(λ4)=0 is reciprocal of the other. If α is one root, then 1α will be the another root.

As we know, roots of a quadratic equation ax2+bx+c=0,a0 will be reciprocal to each other if and only if a=c.

Coefficient of x2=Constant term4=λ4λ=8

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